簡約 (1.097(10^{-2}))(1/(6^2)-1/(3^2))

解

簡約

(1.097 (1 0^{- 2})) (\frac{1}{6 ^{2}} - \frac{1}{3 ^{2}})

- \frac{1097}{1200000}

十進法表記

- 0.00091 \dots

解答ステップ

(1.097 (1 0^{- 2})) (\frac{1}{6 ^{2}} - \frac{1}{3 ^{2}})

簡素化

1.097 (1 0^{- 2}) : 0.01097

= 0.01097 (\frac{1}{6 ^{2}} - \frac{1}{3 ^{2}})

\frac{1}{6 ^{2}} = \frac{1}{36}

\frac{1}{3 ^{2}} = \frac{1}{9}

= 0.01097 (\frac{1}{36} - \frac{1}{9})

\frac{1}{36} - \frac{1}{9} = - \frac{1}{12}

= 0.01097 (- \frac{1}{12})

規則を適用する:

a (- b) = - ab

0.01097 (- \frac{1}{12}) = - 0.01097 \cdot \frac{1}{12}

= - 0.01097 \cdot \frac{1}{12}

0.01097 = \frac{1097}{100000}

= - \frac{1097}{100000} \cdot \frac{1}{12}

- \frac{1097}{100000} \cdot \frac{1}{12} = - \frac{1097}{1200000}

= - \frac{1097}{1200000}